Physical Mathematics (Hardcover)

Kevin Cahill

  • 出版商: Cambridge
  • 出版日期: 2013-05-31
  • 售價: $1,680
  • 貴賓價: 9.8$1,646
  • 語言: 英文
  • 頁數: 681
  • 裝訂: Hardcover
  • ISBN: 1107005213
  • ISBN-13: 9781107005211
  • 下單後立即進貨 (約5~7天)

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商品描述

<內容簡介>

Unique in its clarity, examples and range, Physical Mathematics explains as simply as possible the mathematics that graduate students and professional physicists need in their courses and research. The author illustrates the mathematics with numerous physical examples drawn from contemporary research. In addition to basic subjects such as linear algebra, Fourier analysis, complex variables, differential equations and Bessel functions, this textbook covers topics such as the singular-value decomposition, Lie algebras, the tensors and forms of general relativity, the central limit theorem and Kolmogorov test of statistics, the Monte Carlo methods of experimental and theoretical physics, the renormalization group of condensed-matter physics and the functional derivatives and Feynman path integrals of quantum field theory.

商品描述(中文翻譯)

《物理數學》在其清晰度、例子和範圍上獨一無二,以盡可能簡單的方式解釋了研究生和專業物理學家在課程和研究中所需的數學知識。作者通過許多來自當代研究的物理例子來說明數學概念。除了基本主題如線性代數、傅立葉分析、複變數、微分方程和貝塞爾函數外,這本教科書還涵蓋了奇異值分解、李代數、廣義相對論的張量和形式、統計學的中心極限定理和科爾莫哥洛夫檢驗、實驗和理論物理學的蒙特卡羅方法、凝聚態物理的重整化群以及量子場論的泛函導數和費曼路徑積分等主題。